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UNIT TEST

Unit test · Ch 9: Geometric Twins

20marks
11questions
60%to pass
4checks left

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Series RTEQ.P. Code 92/0/1
Roll No.

RTE LEARN · CBSE PATTERN 2026–27

MATHEMATICS

Unit test · Ch 9: Geometric Twins

Time allowed : 40 MinutesMaximum Marks : 20

General Instructions :

Read the following instructions carefully and follow them :

(i)This question paper contains 11 questions. All questions are compulsory.
(ii)This question paper is divided into three sections – A, B and C.
(iii)In Section A, Question numbers 1 to 5 carry 1 mark each.
(iv)In Section B, Question numbers 6 to 8 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 9 to 11 are short answer (SA) type questions carrying 03 marks each.
(vi)Draw neat figures wherever required. Take π = 22/7 wherever required, if not stated.
(vii)Use of calculators is not allowed.

SECTION A

This section comprises 5 questions of 1 mark each.

1.
RHS congruence applies to which type of triangle?
1
2.
In an isosceles triangle, angles opposite equal sides are always what?
1
3.
What is the symbol for congruence?
1
4.
What does CPCT stand for?
1
5.
SSS congruence requires how many equal pairs of sides?
1

SECTION B

This section comprises 3 very short answer (VSA) type questions of 2 marks each.

6.
Triangle ABC has AB=5, BC=7, CA=6. Triangle DEF has DE=5, EF=7, FD=6. Are they congruent? By which rule?
2
7.
An isosceles triangle has base angles of 55° each. Find the apex angle.
2
8.
Two right triangles have equal hypotenuses of 13cm and one equal leg of 5cm. State the congruence rule and conclusion.
2

SECTION C

This section comprises 3 short answer (SA) type questions of 3 marks each.

9.
Triangle PQR has angle P=angle Q=50°, PQ=8cm. Triangle XYZ has angle X=angle Y=50°, XY=8cm. (a) Are they congruent? (b) By which rule? (c) What is angle R and angle Z?
3
10.
A triangle has an equilateral shape with side 6cm. (a) Find all three angles. (b) State why it is also isosceles. (c) Is SSS or SAS a valid way to prove two such triangles congruent?
3
11.
Prove that if triangle ABC≅triangle DEF by SAS with AB=DE and angle A=angle D, and BC=EF, find what conclusion follows using CPCT.
3

✦ ✦ ✦

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An example of what the app shows after checking. Each answer gets step marks and a short comment:

Q6 · 2/2Full marks. Correct method and the final answer is clearly stated.
Q7 · 1/2Right approach, but one step of working is missing. Show every step to get full marks.
Q8 · 2/2Well explained, with correct units and a neat diagram.
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